Weighted norms and Volterra integral equations in LP spaces. (1991)

• Record Type: Journal Article
• Authors: Kwapisz, Jaroslaw
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 4:Number 2(1991)
• Page Start: 161
• Page End: 164
• Publication Date: 1991
• Subjects: nonlinear Volterra equations -- Banach contraction principle; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953391000126
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : A new simple proof of existence and uniqueness of solutions of the Volterra integral equation in Lebesque spaces is given. It is shown that the weighted norm technique and the Banach contraction mapping principle can be applied (as in the case of continuous functions space).